You've got it... upside down. The line is dangling from the Moon, down to ~36000Km above us. That car would have to reach geostationary orbit, jump on that tiny

You've got it... upside down. The line is dangling from the Moon, down to ~36000Km above us. That car would have to reach geostationary orbit, jump on that tiny cable, then travel... oops, the remaining ~350,000Km to reach the Moon. To do that trip in 15 days, it'd have to run at mach 1.0. Edit: it gets even weirder, if you consider the Moon's distance from Earth goes from 363,300Km at perigee to 405,500Km at apogee... just how long should the line be? If it's 327,300Km, we might only be able to operate it near perigee, sure if it's a bit longer it'd be more usable, but it cannot extend past 363,300Km - or it would touch down here :) - that means there's no way we might use it near apogee, since it would always be too far away.